Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2025-01-01T05:22:51.192Z Has data issue: false hasContentIssue false
  • English
  • Français

Isotropic Immersions into a Real Space Form

Published online by Cambridge University Press:  20 November 2018

Sadahiro Maeda  and
Kazumi Tsukada
Sadahiro Maeda
Affiliation:
Department of Mathematics, Nagoya Institute of Technology Gokiso, Showa-ku, Nagoya 466, Japan
Kazumi Tsukada
Affiliation:
Department of Mathematics, Ochanomizu University Otuka, Bunkyo-ku 112, Japan
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The main purpose of this paper is to investigate isotropic immersions with low codimensions into a real space form.

Keywords

53C40
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 2 , 01 June 1994 , pp. 245 - 253
Copyright
Copyright © Canadian Mathematical Society 1994

References

1. Bryant, R., Conformai and minimal immersions of compact surfaces into the 4-sphere, J. Differential Geom. 17(1982),455–473.Google Scholar
2. Chen, B. Y., Geometry of submanifolds, Pure and Applied Mathematics 22, Marcel Dekker, Inc., New York, 1973.Google Scholar
3. Do Carmo, M. and Wallach, N., Minimal immersions of spheres into spheres, Ann. of Math. 93( 1971 ), 43–62.Google Scholar
4. Ferus, D., Totality geodesic foliations, Math. Ann. 188(1970), 313–316.Google Scholar
5. Ferus, D., Immersions with parallel second fundamental form, Math. Z. 140(1974), 87–92.Google Scholar
6. Hermann, R., A sufficient condition that a mapping of Riemannian manifolds be a fibre bundle, Proc. Amer. Math. Soc. 11(1960), 236–242.Google Scholar
7. Kleinjohann, N. and Walter, R., Nonnegativity of the curvature operator and isotropyfor isometric immersions, Math. Z. 181(1982), 129–142.Google Scholar
8. Naitoh, H., Isotropic submanifolds with parallel second fundamental form in Pm(c) Osaka J. Math. 18 (1981), 427–464.Google Scholar
9. O'Neill, B., Isotropic and Kàhler immersions, Canad. J. Math. 17(1965), 905–915.Google Scholar
10. Sakamoto, K., Planar geodesic immersions, Tohoku Math. J. 29(1977), 25–56.Google Scholar
11. Toth, G. and G. D'Ambra, Parameter space for harmonic maps of constant energy density into spheres, Geom. Dedicata 17(1984), 61–67.Google Scholar
12. Tsukada, K., Isotropic minimal immersions of spheres into spheres, J. Math. Soc. Japan 35( 1983), 355–379.Google Scholar
13. Yano, K. and Kon, M., CR-submanifolds of Kaehlerian and Sasakian manifolds, Progress in Math. 30, Birkhauser, 1983.Google Scholar